I have a brand new out of the box Epson 3880, and I have encountered an issue with ink (black) smudging the edge of a print.
This doesen't happen all the time, but is happening more than a few times out of 10 prints.
Cleaning seems to have no bearing on this event.
I am using Inkjet Mall ink and Cartridges. I can't see how that is an issue here though.